A NOTE ON STABLE SOLUTIONS OF A SUB-ELLIPTIC SYSTEM WITH SINGULAR NONLINEARITY

Abstract

In this paper, we study a system of the form
(∆ ∆λ λu v == -v u-p in RN,
where p > 1 and ∆λ is a sub-elliptic operator. We obtain a Liouville type theorem
for the class of stable positive solutions of the system.